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Finding the Fourth Proportional to 82,812.68, 114,281.94 and 45,087.20

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Solution

The fourth proportional to 82,812.68, 114,281.94 and 45,087.20 is: 62,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.68 : 114,281.94 = 45,087.20 : x
  2. Step 2: Convert to fraction form
    82,812.68/114,281.94 = 45,087.20/x
  3. Step 3: Cross multiply
    82,812.68x = 114,281.94 × 45,087.20
  4. Step 4: Simplify right side
    82,812.68x = 5,152,652,685.17
  5. Step 5: Solve for x
    x = 5,152,652,685.17/82,812.68
  6. Step 6: Final answer
    x = 62,220.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.